Ask AI: A roller coaster travels 101 ft at an angle of 56.8 ◦ above the horizontal. How far does it move horizontally? Answer in units of ft.

The horizontal movement of the roller coaster can be found using the cosine of the angle. The equation is: Horizontal Distance = Total Distance * cos(Angle) Here, the total distance is 101 ft and the angle is 56.8 degrees. First, convert the angle from degrees to radians because most calculators use radians. 56.8 degrees * (π rad / 180°) = 0.991 radians approximately. Now plug the values into the formula: Horizontal Distance = 101 ft * cos(0.991 rad) Depending on your calculator, you'll get the horizontal distance approximately equal to 57.16 ft.